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Simplifying (x * y) * dx + (2y * x2 + 4x2 + -1y + -2) * dy = 0 Multiply x * y (xy) * dx + (2y * x2 + 4x2 + -1y + -2) * dy = 0 Multiply xy * dx dx2y + (2y * x2 + 4x2 + -1y + -2) * dy = 0 Multiply y * x2 dx2y + (2x2y + 4x2 + -1y + -2) * dy = 0 Reorder the terms: dx2y + (-2 + 4x2 + 2x2y + -1y) * dy = 0 Reorder the terms for easier multiplication: dx2y + dy(-2 + 4x2 + 2x2y + -1y) = 0 dx2y + (-2 * dy + 4x2 * dy + 2x2y * dy + -1y * dy) = 0 Reorder the terms: dx2y + (4dx2y + 2dx2y2 + -2dy + -1dy2) = 0 dx2y + (4dx2y + 2dx2y2 + -2dy + -1dy2) = 0 Combine like terms: dx2y + 4dx2y = 5dx2y 5dx2y + 2dx2y2 + -2dy + -1dy2 = 0 Solving 5dx2y + 2dx2y2 + -2dy + -1dy2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dy'. dy(5x2 + 2x2y + -2 + -1y) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5x2 + 2x2y + -2 + -1y)' equal to zero and attempt to solve: Simplifying 5x2 + 2x2y + -2 + -1y = 0 Reorder the terms: -2 + 5x2 + 2x2y + -1y = 0 Solving -2 + 5x2 + 2x2y + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5x2 + 2x2y + 2 + -1y = 0 + 2 Reorder the terms: -2 + 2 + 5x2 + 2x2y + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x2 + 2x2y + -1y = 0 + 2 5x2 + 2x2y + -1y = 0 + 2 Combine like terms: 0 + 2 = 2 5x2 + 2x2y + -1y = 2 Add '-5x2' to each side of the equation. 5x2 + 2x2y + -5x2 + -1y = 2 + -5x2 Reorder the terms: 5x2 + -5x2 + 2x2y + -1y = 2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 0 + 2x2y + -1y = 2 + -5x2 2x2y + -1y = 2 + -5x2 Add '-2x2y' to each side of the equation. 2x2y + -2x2y + -1y = 2 + -5x2 + -2x2y Combine like terms: 2x2y + -2x2y = 0 0 + -1y = 2 + -5x2 + -2x2y -1y = 2 + -5x2 + -2x2y Add 'y' to each side of the equation. -1y + y = 2 + -5x2 + -2x2y + y Combine like terms: -1y + y = 0 0 = 2 + -5x2 + -2x2y + y Simplifying 0 = 2 + -5x2 + -2x2y + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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